Search a number
-
+
3318628236 = 2237111929949
BaseRepresentation
bin1100010111001110…
…0011111110001100
322120021120210002220
43011303203332030
523244032100421
61305145415340
7145144605660
oct30563437614
98507523086
103318628236
111453308570
1278749a550
1340b705261
14236a688a0
151465323c6
hexc5ce3f8c

3318628236 has 144 divisors (see below), whose sum is σ = 10190073600. Its totient is φ = 816531840.

The previous prime is 3318628199. The next prime is 3318628241. The reversal of 3318628236 is 6328268133.

It is a happy number.

It is a super-2 number, since 2×33186282362 = 22026586737552943392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328590 + ... + 338538.

It is an arithmetic number, because the mean of its divisors is an integer number (70764400).

Almost surely, 23318628236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3318628236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095036800).

3318628236 is an abundant number, since it is smaller than the sum of its proper divisors (6871445364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3318628236 is a wasteful number, since it uses less digits than its factorization.

3318628236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10012 (or 9991 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 3318628236 is about 57607.5362778170. The cubic root of 3318628236 is about 1491.6016942845.

The spelling of 3318628236 in words is "three billion, three hundred eighteen million, six hundred twenty-eight thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 361 399 418 462 532 627 722 798 836 924 1083 1254 1444 1463 1596 2166 2508 2527 2926 3971 4332 4389 5054 5852 7581 7942 8778 9949 10108 11913 15162 15884 17556 19898 23826 27797 29847 30324 39796 47652 55594 59694 69643 83391 109439 111188 119388 139286 166782 189031 208929 218878 278572 328317 333564 378062 417858 437756 567093 656634 756124 766073 835716 1134186 1313268 1323217 1532146 2079341 2268372 2298219 2646434 3064292 3591589 3969651 4158682 4596438 5292868 6238023 7183178 7939302 8317364 9192876 10774767 12476046 14366356 14555387 15878604 21549534 24952092 25141123 29110774 39507479 43099068 43666161 50282246 58221548 75423369 79014958 87332322 100564492 118522437 150846738 158029916 174664644 237044874 276552353 301693476 474089748 553104706 829657059 1106209412 1659314118 3318628236